In this paper we have studied the detection of DM whose annihilation
process is enhanced by the Sommerfeld effect. To this end, we focus on
observations of dSphs. In order to derive the current limits and the
future sensitivities on the annihilation cross section of DM, it is
crucial to determine the J-factor of the each dSph. Recently the
J-factors of the dSphs were calculated by using proper theoretical
priors and it was found that the J-factors were reduced by at least a
factor of a few for ultrafaint dSphs [1]}. By applying
these satellite priors, we have calculated the J-factors of the dSphs
for DM annihilating into the standard model particles enhanced by the
Sommerfeld effect. We emphasize that most of the previous work on the
dSph density profile estimates adopted uninformative log-flat priors
for the density profile parameters such as \(r_s\)  and \(\rho _s\) . In this
paper, therefore, we focused on evaluating the impact of adopting the
new satellite priors in comparison with traditional uninformative
priors. To be concrete, we have studied two models: (1) DM
annihilation boosted by a light scalar mediator via the Yukawa
interaction; and (2) Wino DM in supersymmetric models.
